Inequality Word Problems

Review

Sean earns $6.70 per hour working after school. He needs at least $155 (≥ 155) for a stereo system. Write an inequality that describes how many hours he must work to reach his goal.

$6.70 h ≥ 155

Per means to multiplyTo figure your pay check:

You multiply rate times hours worked

$6.70 $6.70

23.1343h

So 23 hours is not enoughSo Sean mustWork 24 hoursTo earn enough

Money.24h

Sean earns $6.85 per hour working after school. He needs at least $310 (≥ 310) for a stereo system. Write an inequality that describes how many hours he must work to reach his goal.

$6.85 h ≥ 310

Per means to multiplyTo figure your pay check:

You multiply rate times hours worked

$6.85 $6.85

45.25547h

So 45 hours is not enoughSo Sean mustWork 46 hoursTo earn enough

Money.46h

The width of a rectangle is 11 cm. Find all possible values for the length of the rectangle if the perimeter is at least 300 cm. ( ≥ 300 cm)

2L + 2W = p

2 2(11)L 3002 22 300L

22 222 278L 2 2

139L

The width of a rectangle is 31 cm. Find all possible values for the length of the rectangle if the perimeter is at least 696 cm. ( ≥ 696 cm)

2L + 2W = p

2 2(31)L 6962 62 696L

62 622 634L 2 2

317L

The perimeter of a square is to be between 11 and 76 feet, inclusively. Find all possible values for the length of its sides.

4 equal sides Perimeter – add

up sides s

s s sP = s +s+s+s=4s

11 76p

11 4 76s 4 4 4

2.75 19s

The perimeter of a square is to be between 14 and 72 feet, inclusively. Find all possible values for the length of its sides.

4 equal sides Perimeter – add

up sides s

s s sP = s +s+s+s=4s

14 72p

14 4 72s 4 4 4

3.5 18s

Three times the difference of a number and 12 is at most 87. Let x represent the number and find all possible values for the number.

3( 12)x 873x 36 87

36 363x 123 3 3

41x

Marlee rented a paddleboat at the Park for a fixed charge of $2.50 plus $1.50 per hour. She wants to stay out on the water as long as possible. How many hours can she use the boat without spending more than $7.00?

$2.50 $1.50h $7.00$2.50 $2.50

$1.50h $4.50 $1.50 $1.50

3h